nLab
diagram of LCTVS properties

Skip the Navigation Links | Home Page | All Pages | Recently Revised | Authors | Feeds | Export |
LCTVS cluster_key_col1 cluster_key_col2 cluster_key_col3 FD FD Hi Hi FD->Hi NuFr FD->NuFr IP IP Hi->IP ReBa Hi->ReBa Nu Nu Sc Sc Nu->Sc Ba Ba Fr Fr Ba->Fr No No Ba->No LB LB Ba->LB IP->No Mo Mo Re Re Mo->Re UB UB Bo Bo UB->Bo QCQB UB->QCQB LF LF Fr->LF Me Me Fr->Me Pt Pt Fr->Pt DF DF No->DF No->Me QB QB Bo->QB LF->UB LB->DF LB->LF Me->Bo NuFr->Nu NuFr->Mo ReFr NuFr->ReFr LC LC QC QC Sq Sq QC->Sq BC BC Pt->BC Cp Cp BC->Cp Sq->LC Cp->QC Bl Bl Re->Bl MkSR Re->MkSR SR SR SR->QC Mk Mk QB->Mk Bl->QB MkSR->SR MkSR->Mk QCQB->QC QCQB->Bl ReBa->Ba ReBa->ReFr ReFr->Fr ReFr->Re yFD yHi xFD FD: Finite-Dimensional yDF Key to symbols yNo xDF DF: DF yPt yBC xPt Pt: Ptak Space yNu xHi Hi: Hilbert (technically, admits a Hilbertian structure) yBa xNu Nu: Nuclear yIP xBa Ba: Banach (technically, complete and normable) yMo xIP IP: Topology from an inner-product ySc xMo Mo: Montel yUB xSc Sc: Schwartz yFr xUB UB: Ultrabornological yZ1 xFr Fr: Fréchet yBo xNo No: Normable space yLF xBo Bo: Bornological yLB xLF LF: strict inductive sequence of Fréchet spaces yMe xLB LB: strict inductive sequence of Banach spaces yLC xMe Me: Metrisable yQC xLC LC: Locally Complete yZ2 xQC QC: Quasi-Complete ySq xBC BC: Br Space yCp xSq Sq: Sequentially Complete yRe xCp Cp: Complete ySR xRe Re: Reflexive yQB xSR SR: Semi-Reflexive yMk xQB QB: Quasi-Barrelled yBl xMk Mk: Mackey yZ3 xBl Bl: Barrelled

category: svg

Revised on October 28, 2010 08:31:07 by Toby Bartels (75.88.77.52)
Edit | Back in time (2 revisions) | See changes | History | Views: Print | TeX | Source | Linked from: von Neumann algebra, Banach space, Hilbert space, topological vector space, operator algebra, functional analysis, locally convex space, distribution, von Neumann algebra factor, Fredholm operator, reflexive Banach space, heat kernel, Sobolev space, Lebesgue space, bounded operator, bornological topological vector space, barreled topological vector space, functional analysis - contents, functional analysis bibliography, second lctvs diagram dot source, SVG images, projective Banach space, Hilbert module, Kuiper's theorem, self-adjoint operator, KK-theory, E-theory, Riesz representation theorem, index, Gelfand duality, contents of contents, canonical Hilbert space of half-densities, bounded set, Spin^c Dirac operator, sequence space, Mishchenko-Fomenko index theorem, Banach coalgebra, Hilbert bimodule, continuous multilinear operator, precompact set, convergence vector space, continuously differentiable map, Schwartz space, absolutely convex subset, absorbing subset, Nuclear space, circled set | Included from: locally convex space